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Finding the Fourth Proportional to 3,927.93, 5,891.46 and 1,006.26

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Solution

The fourth proportional to 3,927.93, 5,891.46 and 1,006.26 is: 1,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.93 : 5,891.46 = 1,006.26 : x
  2. Step 2: Convert to fraction form
    3,927.93/5,891.46 = 1,006.26/x
  3. Step 3: Cross multiply
    3,927.93x = 5,891.46 × 1,006.26
  4. Step 4: Simplify right side
    3,927.93x = 5,928,340.54
  5. Step 5: Solve for x
    x = 5,928,340.54/3,927.93
  6. Step 6: Final answer
    x = 1,509.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.